This tutorial review examines recent developments involving use of Copper-catalyzed Azide-Alkyne [3 + 2] Cycloaddition (CuAAC) reactions in the synthesis, modification, and conformational control of peptidomimetic oligomers. CuAAC reactions have been used to address a variety of objectives including: (i) ligation of peptidomimetic oligomers; (ii) synthesis of ordered "foldamer" architectures; (iii) conjugation of ligands to peptidomimetic scaffolds; and (iv) macrocyclization of peptidomimetics using triazole linkages as conformational constraints. Variations in synthesis protocols, such as the use of different solvent systems, temperatures and copper species are evaluated herein to present a range of variables for the optimization of CuAAC reactions. The overall objectives of these studies are assessed to highlight the widespread applications of the products, which range from bioactive ligands to new materials.